Interfaces for 1-D degenerate keller-segel systems

Yoshie Sugiyama

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

Let us consider the Keller-Segel system of degenerate type (KS) m with m >1 below. We prove the property of finite speed of propagation for weak solutions u with a certain regularity. Moreover, we investigate the interface curve which separates the regions (x, t) \in R× (0, T); u(x, t) > 0 and (x, t) R× (0, T); u(x, t) = 0. Concretely, we characterize the interface curve as the solution of a certain ordinary differential equation associated with (KS) m .

Original languageEnglish
Pages (from-to)123-142
Number of pages20
JournalJournal of Evolution Equations
Volume9
Issue number1
DOIs
Publication statusPublished - May 2009

All Science Journal Classification (ASJC) codes

  • Mathematics (miscellaneous)

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